publications

publications by categories in reversed chronological order. generated by jekyll-scholar.

2026

  1. q-deformation of the Marchenko-Pastur law
    Sung-Soo Byun, Yeong-Gwang Jung, and Guido Mazzuca
    2026
    arXiv
  2. Painlevé Universality classes for the maximal amplitude solution of the Focusing Nonlinear Schrödinger Equation with randomness
    Aikaterini Gkogkou, Guido Mazzuca, and Kenneth D. T.-R. McLaughlin
    2026
    arXiv

2025

  1. The formation of a soliton gas condensate for the focusing nonlinear Schrödinger equation
    Aikaterini Gkogkou, Guido Mazzuca, and Kenneth McLaughlin
    Journal of Nonlinear Waves, 2025
    DOI arXiv
  2. Discrete and Continuous Muttalib–Borodin process: Large deviations and Riemann–Hilbert analysis
    Jonathan Husson, Guido Mazzuca, and Alessandra Occelli
    2025
    arXiv
  3. Soliton synchronization with randomness: rogue waves and universality
    Manuela Girotti, Tamara Grava, Robert Jenkins, and 3 more authors
    Nonlinearity, Nov 2025
    DOI arXiv

2024

  1. Generalized Hydrodynamics for the Volterra lattice: ballistic and non-ballistic behavior of correlation functions
    Guido Mazzuca
    Journal of Physics A: Mathematical and Theoretical, 2024
    DOI arXiv
  2. CLT for βensembles at high-temperature, and for integrable systems: a transfer operator approach
    Guido Mazzuca and Ronan Mémin
    Annales Henri Poincaré, 2024
    DOI arXiv

2023

  1. Equilibrium Spacetime Correlations of the Toda Lattice on the Hydrodynamic Scale
    Guido Mazzuca, Tamara Grava, Thomas Kriecherbauer, and 3 more authors
    Journal of Statistical Physics, 2023
    DOI arXiv
  2. Generalized Gibbs ensemble of the Ablowitz-Ladik lattice, circular β-ensemble and double confluent Heun equation
    Guido Mazzuca and Tamara Grava
    Communications in Mathematical Physics, 2023
    DOI arXiv
  3. Discrete integrable systems and random Lax matrices
    Massimo Gisonni, Tamara Grava, Giorgio Gubbiotti, and 1 more author
    Journal of Statistical Physics, 2023
    DOI arXiv
  4. Large Deviations for Ablowitz-Ladik lattice, and the Schur flow
    Guido Mazzuca and Ronan Mémin
    Electronic Journal of Probability, 2023
    DOI arXiv

2022

  1. On the mean Density of States of some matrices related to the beta ensembles and an application to the Toda lattice
    Guido Mazzuca
    Journal of Mathematical Physics, 2022
    DOI arXiv

2021

  1. The classical beta ensembles with beta proportional to 1/N: from loop equations to Dyson’s disordered chain
    Guido Mazzuca and Peter J. Forrester
    Journal of Mathematical Physics, 2021
    DOI arXiv
  2. Correlation functions for a chain of short range oscillators
    Tamara Grava, Thomas Kriecherbauer, Guido Mazzuca, and 1 more author
    Journal of Statistical Physics, 2021
    DOI arXiv

2020

  1. Adiabatic invariants for the FPUT and Toda chain in the thermodynamic limit
    Tamara Grava, Alberto Maspero, Guido Mazzuca, and 1 more author
    Communications in Mathematical Physics, 2020
    DOI arXiv